We consider an inviscid shell model of turbulence with the addition of Itô and Stratonovich multiplicative stochastic forcing. Numerical simulations are performed for both models that show dissipation of energy at an algebraic rate. A comparison between the Itô and Stratonovich effects is examined. Positivity of solutions is discussed and demonstrated numerically.
Hakima Bessaih, Department of Mathematics, University of Wyoming Bessaih@uwyo.edu
Campilonga, Kristen; Gucker, Dennis; and Keller, Joshua
"A Stochastic Shell Model of Turbulence: Numerical and Analytical Results,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 10
, Article 8.
Available at: https://scholar.rose-hulman.edu/rhumj/vol10/iss2/8